Evaluate the expression for the given value of x.
0.2x + 5.1 for x = -3
The solution is

Answer:

one solution

Step-by-step explanation:

The number of solutions 2x+3y=4, x-y=3, 3x+5y=6 is​

Solving two of the equations simultaneously

2x+3y=4,  ... 1 *1

x-y=3 ... 2 * 2

_________

2x+3y = 4

2x-2y = 6

subtract

3y+2y = 4+6

5y = 10

y = 10/5

y = 2

Recall that x - y = 3

x - 2 = 3

x = 3+2

x = 5

Hence the solution has just one solution

Answer:

The literary magazine must pay $ 10 if poem is written by Gil, $ 20 if poem is written by Holly and $ 30 if poem is written by Ivan.

Step-by-step explanation:

The wage indicate the amount of money earned in hour for production of poems. If a literary magazine needs just one poem, then the cost will be the wage multiplied by time taken for the creation of the poem. There are three possibilities:

Gil

[tex]C = \left(10\,\frac{USD}{h})\cdot (1\,h)[/tex]

[tex]C = 10\,USD[/tex]

Holly

[tex]C = \left(10\,\frac{USD}{h}\right)\cdot (2\,h)[/tex]

[tex]C = 20\,USD[/tex]

Ivan

[tex]C = \left(10\,\frac{USD}{h}\right)\cdot (3\,h)[/tex]

[tex]C = 30\,USD[/tex]

The literary magazine must pay $ 10 if poem is written by Gil, $ 20 if poem is written by Holly and $ 30 if poem is written by Ivan.

Answer:

-4.125

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

120 x 0.002 = 0.24

The correct answer is 0.24.

To find the product of 120 ×(0.002).

The zeroes are multiplied by the power of 10 which is 1/10 in particular.

For example.

The product of a whole number and a decimal number less than 1 will be greater than the whole number multiplied into. For this theorem to be proven. Let us state the mathematical expression into numbers such that

1.  N x 0.1 = N/0.1 < N

2.  1 x 0.5 = 0.5

3.  2 x 0.1 = 0.2

4.  100 x 0.55 = 55  

120 ×(0.002) = 0.24.

Therefore, the 120 × 0.002 = 0.24

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Answer: The 500 NYSE stocks that current prices were collected from

Step-by-step explanation:

The sample of interest simply means a representation of the population. With regards to the information given pertaining to the question, the sample of interest will be "The 500 NYSE stocks that current prices were collected from".

The 500 NYSE stocks represents the total NYSE stocks that are available.

Answer:

600

Step-by-step explanation:

200x3=600

Answer:

its 1200

Step-by-step explanation:

The integer that represents the altitude change is -40

From the question, the positions of the eagle are

70 feet above him and 30 feet above him

Rewrite the positions of the eagle properly

This is done as follows

Position 1 =  70

Position 3 =  30

The expression of the altitude change in the position of the eagle is then calculated as

Change = Position 2 - Position 1

Substitute the known values in the above equation

So, we have the following equation

Change = 30 - 70

Evaluate

Change = -40

Hence, the altitude change is -40

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Answer:B

Step-by-step explanation: a factor of a number that is multiplied by itself

Answer:

The width of the TV screen is 56 inches.

Step-by-step explanation:

We can find the width of the TV screen by using Pitagoras:  

[tex] D^{2} = H^{2} + W^{2} [/tex]

Where:

D: is the diagonal = 65 in

H: is the height = 33 in

W: is the width =?

Then, the width is:

[tex] W = \sqrt{D^{2} - H^{2}} = \sqrt{(65 in)^{2} - (33 in)^{2}} = 56 in [/tex]

Therefore, the width of the TV screen is 56 inches.

I hope it helps you!        

Answer:

56in

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

area is equal on leng × with, or 36 × w =1008

1008:36 = 28

Answer:

d

Step-by-step explanation:

Because you need to substitute the variable first, multiply that and add 8.

Answer:

The depth of the aquarium is 3 feet.

Step-by-step explanation:

From the formula for the volume of a bar we find that [tex]V=whl[/tex], where [tex]w[/tex] is the width, [tex]h[/tex] is the height (depth), and [tex]l[/tex] is the length of the bar (which in this case is the aquarium). So [tex]h=\frac{V}{wl}[/tex] and by substituting [tex]V=11.94[/tex], [tex]w=1.4[/tex] and [tex]l=2.6[/tex] we can see that [tex]h=\frac{V}{wl} = \frac{11.94}{2.6 \cdot 1.4} = 3.2802... \approx 3[/tex] feet (rounding to the nearest whole number).

So the depth of the aquarium is 3 feet.

Answer:

Random variable set is attached as image. Please see the image

Step-by-step explanation:

The random variable W consist of all possible set of selection of two reward slips

The set consists of total 20 possible outcomes

The set is given in the image attached

Answer:

23

Step-by-step explanation:

Answer:

[tex]Sum = 832[/tex]

Step-by-step explanation:

Given

See attachment

Required

Evaluate

The expression can be expressed as:

[tex]Sum = 2n + 5;\ n=1...26[/tex]

To do this, we  make use of sum of n terms of an AP.

When n = 1

[tex]2n + 5 = 2 * 1 + 5 = 7[/tex] --- T1

When n = 2

[tex]2n + 5 = 2 * 2 + 5 = 9[/tex] --- T2

When n - 26

[tex]2n + 5 = 2 * 26 + 5 = 57[/tex] --- T26

Next, we calculate d (common difference)

[tex]d = T_2 - T_1[/tex]

[tex]d = 9 - 7 = 2[/tex]

So, the sum is:

[tex]Sum = \frac{n}{2}(T_1 + T_n)[/tex]

Let n = 26

So, we have:

[tex]Sum = \frac{26}{2}(T_1 + T_{26})[/tex]

Substitute values for T1 and T26

[tex]Sum = \frac{26}{2}(7+57)[/tex]

[tex]Sum = \frac{26}{2}(64)[/tex]

[tex]Sum = 13*64[/tex]

[tex]Sum = 832[/tex]

Answer:

Step-by-step explanation:

Answer:

b. x/8 + x/16 = 3/4

4 miles

Step-by-step explanation:

edge

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

That would be 8/5 = 1.3 = 130/100 = 130%

Answer:

0.4198 = 41.98% probability that he or she has a basic model

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Extended warranty

Event B: Basic model

Probability of extended warranty:

34% of 50%(basic model)

47% of 100 - 50 = 50%(deluxe model). So

[tex]P(A) = 0.34*0.5 + 0.47*0.5 = 0.405[/tex]

Intersection of events A and B:

34% of 50%(basic model with extended warranty). So

[tex]P(A \cap B) = 0.34*0.5 = 0.17[/tex]

How likely is it that he or she has a basic model

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.17}{0.405} = 0.4198[/tex]

0.4198 = 41.98% probability that he or she has a basic model

Answer:

50 fish

Step-by-step explanation:

80% 40 fish :8

10% 5 fish x10

100% 50 fish

Answer:

1.8 Kilograms

Step-by-step explanation:

Since the farmer sells 6.3 Kilograms of fruit in total and 4.5 Kilograms of this weight is pears, you have to subtract 4.5 from 6.3.

6.3-4.5 = 1.8

So, there are 1.8 Kilograms of apples.

Answer:

25 miles for 1 gallon

Step-by-step explanation:

Looking at the graph, for 1 gallon of gas, is about 25 miles. For 2 gallons, it is 50 miles. For 3 gallons, it is 75 miles. So based on the graph and the pattern, we can assume 1 gallon of gas will take the car 25 miles.

Answer:

Gary

I have no idea how to explain this but I do know for a fact that the answer is Gary.

Answer:

A) 29

Step-by-step explanation:

Step 1: Find angle G

Since Sin(θ) = Opposite over Hypotenuse:

[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ

θ = 33.896°

Now repeat for just the smaller triangle:

[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]

Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

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